Information on Result #737462
Linear OA(589, 1953168, F5, 12) (dual of [1953168, 1953079, 13]-code), using construction X applied to Ce(11) ⊂ Ce(6) based on
- linear OA(582, 1953125, F5, 12) (dual of [1953125, 1953043, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(546, 1953125, F5, 7) (dual of [1953125, 1953079, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(57, 43, F5, 4) (dual of [43, 36, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(57, 44, F5, 4) (dual of [44, 37, 5]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(589, 976584, F5, 2, 12) (dual of [(976584, 2), 1953079, 13]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(589, 651056, F5, 3, 12) (dual of [(651056, 3), 1953079, 13]-NRT-code) | [i] | ||
| 3 | Linear OOA(589, 325528, F5, 12, 12) (dual of [(325528, 12), 3906247, 13]-NRT-code) | [i] | OA Folding and Stacking | |